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rusak2 [61]
3 years ago
7

In how many ways letters of the word APPLE can be rearranged?

Mathematics
2 answers:
vovikov84 [41]3 years ago
7 0

Answer:

60

Step-by-step explanation:

not really sure how to explain this

nikklg [1K]3 years ago
7 0

Answer:

60

Step-by-step explanation:

not sure how 2 explain

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Which equation represents a line which is perpendicular to the line 5x + 2y = 12?
o-na [289]

Answer:

<h2>          y = ²/₅ x - 3</h2>

Step-by-step explanation:

Changing to slope-intercept form:

5x + 2y = 12         {subtract 5x from both sides}

2y = -5x + 12         {divide both sides by 2}

y = -⁵/₂ x + 6

y=m₁x+b₁   ⊥   y=m₂x+b₂   ⇔    m₁×m₂ = -1

{Two lines are perpendicular if the product of theirs slopes is equal -1}

y =-⁵/₂ x + 1    ⇒     m₁ =  -⁵/₂

-⁵/₂× m₂ = -1      ⇒   m₂ = ²/₅

So, any line perpendicular to 5x + 2y = 12 must have slope m =²/₅

7 0
2 years ago
Lori buys a $400 certificate deposit that earns 1.8% interest compounded monthly how much will a cd be worth in six years
Firlakuza [10]

Answer:

$1445.11

Step-by-step explanation:

The formula to use would be:

F=P(1+r)^t

Where

F is the future amount (what we want to find)

P is the present (principal) amount (this is 400)

r is the rate of interest, monthly (1.8% or 0.018)

t is the time in months (6 years = 6 * 12 = 72)

Now substituting, we get:

F=P(1+r)^t\\F=400(1+0.018)^{72}\\F = 400(1.018)^{72}\\F=1445.11

After 6 years, the CD will be worth $1445.11

8 0
3 years ago
Suppose that shoe sizes of American women have a bell-shaped distribution with a mean of 8.47 and a standard deviation of 1.5. U
alex41 [277]

Answer:

2.5% of American women have shoe sizes that are greater than 11.47.

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean = 8.47

Standard deviation = 1.5

The normal distribution is symmetric, which means that half the measures are below the mean, and half are above the mean.

What percentage of American women have shoe sizes that are greater than 11.47?

11.47 = 8.47 + 2*1.5

This means that 11.47 is two standard deviations above the mean.

Of those measures below the mean, none are greater than 11.47.

Of those measures above the mean, 95% are between the mean and 11.47, and 5% are above. So

0.5*0.05 = 0.025

2.5% of American women have shoe sizes that are greater than 11.47.

8 0
3 years ago
Find the solution of the system of equations.<br> 10x+10y=40 <br> 5x+3y=8
ddd [48]

Answer:

x = -2 & y = 6

Step-by-step explanation:

10x+10y=40

10x+10y+ -10y=40+-10y

10x=-10y+40

\frac{10x}{10} =\frac{-10y+40}{10}

x=-y+4

5x+3y=8

5(-y+4)+3y=8

-2y+20=8

-2y+20+-20=8+-20

-2y=-12

\div2

y=6

x=-y+4

x=-6+4

x=-2

Hope this helps.

7 0
2 years ago
Do y’all know the answer to this ?
AleksAgata [21]
Nope idk sorry babe
7 0
3 years ago
Read 2 more answers
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